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Solved: For a gas of nitrogen molecules(N2) what must the
Chapter 18, Problem 46E(choose chapter or problem)
For a gas of nitrogen molecules \(\left(N_{2}\right)\), what must the temperature be if of all the molecules have speeds less than (a) 1500 \(\mathrm{m} / \mathrm{s}\); (c) 500 \(\mathrm{m} / \mathrm{s}\)? Use Table . The molar mass of \(N_{2}\) is 28.0 \(\mathrm{g} / \mathrm{mol}\).
Equation Transcription:
Text Transcription:
(N_2)
m/s
m/s
N_2
g/mol
Questions & Answers
QUESTION:
For a gas of nitrogen molecules \(\left(N_{2}\right)\), what must the temperature be if of all the molecules have speeds less than (a) 1500 \(\mathrm{m} / \mathrm{s}\); (c) 500 \(\mathrm{m} / \mathrm{s}\)? Use Table . The molar mass of \(N_{2}\) is 28.0 \(\mathrm{g} / \mathrm{mol}\).
Equation Transcription:
Text Transcription:
(N_2)
m/s
m/s
N_2
g/mol
ANSWER:
Solution 46E
Step 1:
Relation between root mean square speed and temperature is,
Where, k - Boltzmann constant
T - temperature of the gas
M - molar mass